Coordinate seestem

In geometry, a coordinate seestem is a seestem which uises ane or mair nummers, or coordinates, tae uniquely determine the poseetion o a pynt or ither geometric element on a manifold such as Euclidean space.[1][2] The order o the coordinates is significant an thay are sometimes identified bi thair poseetion in an ordered tuple an sometimes bi a letter, as in "the x coordinate". The coordinates are taken tae be real nummers in elementary mathematics, but mey be complex nummers or elements o a mair abstract seestem such as a commutative ring. The uise o a coordinate seestem allaes problems in geometry tae be translatit intae problems aboot nummers an vice versa; this is the basis o analytic geometry.[3]